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A particle travels with speed $50 m/s$ from the point $(3,-7)$ in the direction $7i-24j$ . Find its positional vector after 3 seconds.

My approach: It has travelled a distance of 150m in the direction given by the unit vector $\frac{7\hat i - 24 \hat j}{25} $ .

So, its position is now $210\hat i -720 \hat j$. But it started from $(3, - 7)$, so I have to subtract that to get $197\hat i - 713\hat j$. But I think this answer is awkward, and I may have gone wrong. So, please tell me if I am right, and if yes, can you suggest any shorter way of doing it?

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closed as too localized by Emilio Pisanty, Qmechanic Jun 4 '13 at 13:13

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1 Answer 1

up vote 3 down vote accepted

Displacement :$$\vec r_f-\vec r_i = \vec d =|d| \hat d $$

$\vec r_i$= position vector initial. ie. $3\hat i -7 \hat j$ ; $|d|=150m$ as found , and $\hat d$ is the direction .

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$ \hat d$ is just the unit vector I mentioned, right? –  Saurabh Raje Jun 4 '13 at 12:00
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@SaurabhRaje: yes that's it. –  Mr.ØØ7 Jun 4 '13 at 12:01
    
ie$\frac{7 \hat i - 24 \hat j}{25}$ –  Saurabh Raje Jun 4 '13 at 12:01
    
@SaurabhRaje: There is no need to post new comments every thing you mention for.If this persist that can lead to suspension , I have seen 1 case. –  Mr.ØØ7 Jun 4 '13 at 12:04
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@SaurabhRaje: It's not like that . But as you sometimes do , write a new comment for every equation it's wrong. Like ""ie.eq"" must have been a part of 1st comment itself. Don't take tension though :P. –  Mr.ØØ7 Jun 4 '13 at 12:12
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